# What are the asymptote(s) and hole(s), if any, of  f(x) =(sinx)/(5x^2+2x+1) ?

Feb 22, 2018

#### Explanation:

There are no holes and no vertical asymptotes because the denominator is never $0$ (for real $x$).

Using the squeeze theorem at infinity we can see that ${\lim}_{x \rightarrow \infty} f \left(x\right) = 0$ and also ${\lim}_{x \rightarrow - \infty} f \left(x\right) = 0$, so the $x$-axis is a horizontal asymptote.